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Finding the Fourth Proportional to 11,661.46, 17,488.99 and 6,977.78

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Solution

The fourth proportional to 11,661.46, 17,488.99 and 6,977.78 is: 10,464.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,661.46 : 17,488.99 = 6,977.78 : x
  2. Step 2: Convert to fraction form
    11,661.46/17,488.99 = 6,977.78/x
  3. Step 3: Cross multiply
    11,661.46x = 17,488.99 × 6,977.78
  4. Step 4: Simplify right side
    11,661.46x = 122,034,289.75
  5. Step 5: Solve for x
    x = 122,034,289.75/11,661.46
  6. Step 6: Final answer
    x = 10,464.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.